Your image is half the size of the custom view window viewBox
.
In order to enlarge the image in half, it is necessary to reduce the viewBox
twice viewBox="0 0 50 50"
1#
.viewport {
width: 10rem;
height: 10rem;
background-color: rgba(0,0,0,.2);
<div class="viewport">
<svg xmlns="http://www.w3.org/2000/svg" preserveAspectRatio="xMidYMid meet" viewBox="-3 0 50 50">
<path d="M27.38 38.45c.3676376.0432512.6447064.3548269.6447064.725s-.2770688.6817488-.6447064.725H16.62c-.2793485.0328643-.5527292-.0976886-.702766-.3356058-.1500368-.2379172-.1500368-.5408712 0-.7787884.1500368-.2379172.4234175-.3684701.702766-.3356058h10.76z"/>
<path d="M22 20.32l7-8.08H15l7 8.08zm5.77 2.59l4.17-7.76-1.44-2.41-7.28 8.38 4.55 1.79zM40 30.48c1.1964325-3.1635471 1.8718678-6.5001977 2-9.88l-4.4-2.22v8.27c.222793 1.5584681 1.0946906 2.9498712 2.4 3.83zm-11.26-6.31c-.1278873.2340796-.3732635.3797717-.64.38-.0856249.0190035-.1743751.0190035-.26 0L22 22.2l-5.84 2.3c-.0855499.0196756-.1744501.0196756-.26 0-.2643693.0005027-.5071244-.145921-.63-.38l-1.67-3.04v8.12h16.79v-8.1l-1.65 3.07zM6.39 26.59v-8.2L2 20.6c.13283876 3.3792388.80812272 6.7151415 2 9.88 1.31972827-.8919415 2.19075519-2.3096381 2.39-3.89zM42.06 19V2.08c.000044-.33854901-.271495-.61453953-.61-.62H2.57c-.16352967-.00002198-.32022048.06561659-.43490953.18218579C2.02040143 1.75875498 1.95731918 1.9164923 1.96 2.08L1.95991792 19 10.74 14.58l2.05-3.45v-.05a.6199991.6199991 0 0 1 .14-.14l.09-.06c.0606197-.0379407.1289512-.0618568.2-.07h17.53c.0710488.0081432.1393803.0320593.2.07l.09.06a.6199991.6199991 0 0 1 .14.14v.05l2.05 3.45L42.06 19zm-30-3.85l4.17 7.76 4.55-1.79-7.28-8.38-1.44 2.41zm.1 14.78V18.66a.57999937.57999937 0 0 1 0-.19l-1.23-2.37-3.09 1.56v9c-.23358787 2.140913-1.43965798 4.0551344-3.27 5.19 3.28318525 7.6277175 9.4797039 13.6262068 17.21 16.66.147458.0600295.312542.0600295.46 0 7.7209585-3.0462892 13.9080563-9.0462264 17.19-16.67-1.8174849-1.1243263-3.0217854-3.0173247-3.27-5.14v-9l-3.09-1.6-1.24 2.31v11.52c.0000375.3992947-.3207428.7245302-.72.73H12.88c-.3992572-.0054698-.7200375-.3307053-.72-.73zm9.12 19.95C9.07046721 45.052873.91252114 33.4138361.54 20.29a1.00000007 1.00000007 0 0 1 0-.17V2.08C.52887155.94612822 1.43619307.01645888 2.57 0h38.88c1.1181022.03256431 2.0059041.95143932 2 2.07v18.05a.99999966.99999966 0 0 1 0 .17c-.3740569 13.1119454-8.517206 24.7427688-20.71 29.58-.2373877.0854445-.4877039.129419-.74.13-.244887-.0010737-.4880019-.0415928-.72-.12z"/>
</svg>
</div>
2#
The first variant of the solution fulfills the conditions of the question, but is not adaptive.
In order for svg to change its size along with changing the size of the parent container, you must specify its width and height in percent
.viewport {
width:25%;
height:25%;
}
#rect {
fill: rgba(0,0,0,.2);
}
<div class="viewport">
<svg xmlns="http://www.w3.org/2000/svg" preserveAspectRatio="xMinYMin meet" viewBox="-6 0 50 50">
<rect id="rect" width="100%" height="100%" />
<path d="M27.38 38.45c.3676376.0432512.6447064.3548269.6447064.725s-.2770688.6817488-.6447064.725H16.62c-.2793485.0328643-.5527292-.0976886-.702766-.3356058-.1500368-.2379172-.1500368-.5408712 0-.7787884.1500368-.2379172.4234175-.3684701.702766-.3356058h10.76z"/>
<path d="M22 20.32l7-8.08H15l7 8.08zm5.77 2.59l4.17-7.76-1.44-2.41-7.28 8.38 4.55 1.79zM40 30.48c1.1964325-3.1635471 1.8718678-6.5001977 2-9.88l-4.4-2.22v8.27c.222793 1.5584681 1.0946906 2.9498712 2.4 3.83zm-11.26-6.31c-.1278873.2340796-.3732635.3797717-.64.38-.0856249.0190035-.1743751.0190035-.26 0L22 22.2l-5.84 2.3c-.0855499.0196756-.1744501.0196756-.26 0-.2643693.0005027-.5071244-.145921-.63-.38l-1.67-3.04v8.12h16.79v-8.1l-1.65 3.07zM6.39 26.59v-8.2L2 20.6c.13283876 3.3792388.80812272 6.7151415 2 9.88 1.31972827-.8919415 2.19075519-2.3096381 2.39-3.89zM42.06 19V2.08c.000044-.33854901-.271495-.61453953-.61-.62H2.57c-.16352967-.00002198-.32022048.06561659-.43490953.18218579C2.02040143 1.75875498 1.95731918 1.9164923 1.96 2.08L1.95991792 19 10.74 14.58l2.05-3.45v-.05a.6199991.6199991 0 0 1 .14-.14l.09-.06c.0606197-.0379407.1289512-.0618568.2-.07h17.53c.0710488.0081432.1393803.0320593.2.07l.09.06a.6199991.6199991 0 0 1 .14.14v.05l2.05 3.45L42.06 19zm-30-3.85l4.17 7.76 4.55-1.79-7.28-8.38-1.44 2.41zm.1 14.78V18.66a.57999937.57999937 0 0 1 0-.19l-1.23-2.37-3.09 1.56v9c-.23358787 2.140913-1.43965798 4.0551344-3.27 5.19 3.28318525 7.6277175 9.4797039 13.6262068 17.21 16.66.147458.0600295.312542.0600295.46 0 7.7209585-3.0462892 13.9080563-9.0462264 17.19-16.67-1.8174849-1.1243263-3.0217854-3.0173247-3.27-5.14v-9l-3.09-1.6-1.24 2.31v11.52c.0000375.3992947-.3207428.7245302-.72.73H12.88c-.3992572-.0054698-.7200375-.3307053-.72-.73zm9.12 19.95C9.07046721 45.052873.91252114 33.4138361.54 20.29a1.00000007 1.00000007 0 0 1 0-.17V2.08C.52887155.94612822 1.43619307.01645888 2.57 0h38.88c1.1181022.03256431 2.0059041.95143932 2 2.07v18.05a.99999966.99999966 0 0 1 0 .17c-.3740569 13.1119454-8.517206 24.7427688-20.71 29.58-.2373877.0854445-.4877039.129419-.74.13-.244887-.0010737-.4880019-.0415928-.72-.12z"/>
</svg>
</div>
Now increasing, decreasing the percentage of width and height of the parent container .viewport
will also exactly change the size ofSVG