Question

The area of rombus is119cm square and its perimeter is 56 cm. Find its height

Answer 1

ɪɴ ᴀ ʀʜᴏᴍʙᴜs ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴀʟʟ sɪᴅᴇs ᴀʀᴇ ᴇǫᴜᴀʟ ɪɴ ʟᴇɴɢᴛʜ.

ᴘᴇʀɪᴍᴇᴛᴇʀ=4x sɪᴅᴇ ʟᴇɴɢᴛʜ

56=4×sɪᴅᴇ ʟᴇɴɢᴛʜ.

sɪᴅᴇ ʟᴇɴɢᴛʜ=56/4

=14 ᴄᴍ

ᴀʀᴇᴀ ᴏғ ʀʜᴏᴍʙᴜs = ᴀʟᴛɪᴛᴜᴅᴇ×ʙᴀsᴇ

119= 14× ᴀʟᴛ.

ᴀʟᴛ. = 8.5 ᴄᴍ

sᴏ, ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ʀᴏᴍʙᴜs ɪs 8.5 ᴄᴍ

Answer 2

in rhombus all sides are equal in length

perimeter=44*side length

56=4*side length

side length=56/4

14cm

area of rhombus= altitude *base

119=14*altitude

119/14

=8.5 cm altitude

hope its clear